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Let x denote the IQ for an individual selected at random from a certain population. The value of x must be a whole number. Suppose that the distribution of x can be approximated by a normal distribution with mean value 110 and standard deviation 15. Approximate the probabilities below. (Round all answers to four decimal places.)
(a) P(x = 110) =(b) P(x less than or equal to 130) =(c) P(x < 130) =
A federal bank examiner is interest in estimating the mean outstanding defaulted loans balance of all defaulted loans over the last three years. Calculate a 90% confidence interval for the mean balance of defaulted loans over the past three years.
Calculate the value of Pearson correlation. Illustrate what information is provided by the numerical value of the Pearson correlation.
Compute the pdf of continuous random variable Z where Z = X + Y and X is a continuous random variable uniformly distributed on [0, 2] and Y is a continuous random variable uniformly distributed on [0, 4]. Assume that X and Y are independent.
Calculate p value? What is the critical value?
During normal business hours on the east coast, calls to the toll-free reservation number of the Nite Time Inn that the numb roy calls per minute can be described by the Poisson distribution.
In total, of 1000 applications they got from men, they hired 625, or 62.5%. Based on numbers presented, what do you believe of the discrimination claim?
Calculate the expected value and standard deviation of the value.
A machine produces parts with lengths that are normally distributed with ? = 0.59. A sample of 19 parts has a mean length of 76.26.
Given the following sample information, test the hypothesis that the treatment means are equal at the .05 significance level. Complete an ANOVA table. State your decision regarding the null hypothesis.
Find the probability that 4 of the 5 committee members belong to a union.Find the probability using hypergeometric distribution.
While 290 out of 400 in Batavia preferred the same flavor. To test the hypothesis that there was no difference in preferences in the two towns, what is the alternate hypothesis?
For the preceding problem you should find that there are significant differences among the three treatments. One reason for the significance is that the sample variances are small.
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